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14243023424 = 267234193299
BaseRepresentation
bin11010100001111001…
…10100101001000000
31100202121202120001002
431100330310221000
5213132203222144
610313153231132
71012645462430
oct152074645100
940677676032
1014243023424
1160498a7343
122915b624a8
13145ca7ac16
149918982c0
1558563a14e
hex350f34a40

14243023424 has 112 divisors (see below), whose sum is σ = 33796224000. Its totient is φ = 5823054336.

The previous prime is 14243023411. The next prime is 14243023441. The reversal of 14243023424 is 42432034241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×142430234242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4315727 + ... + 4319025.

It is an arithmetic number, because the mean of its divisors is an integer number (301752000).

Almost surely, 214243023424 is an apocalyptic number.

14243023424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14243023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898112000).

14243023424 is an abundant number, since it is smaller than the sum of its proper divisors (19553200576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14243023424 is a wasteful number, since it uses less digits than its factorization.

14243023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 14243023424 its reverse (42432034241), we get a palindrome (56675057665).

The spelling of 14243023424 in words is "fourteen billion, two hundred forty-three million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 419 448 644 736 838 1288 1472 1676 2576 2933 3299 3352 5152 5866 6598 6704 9637 10304 11732 13196 13408 19274 23093 23464 26392 26816 38548 46186 46928 52784 67459 75877 77096 92372 93856 105568 134918 151754 154192 184744 187712 211136 269836 303508 308384 369488 531139 539672 607016 616768 738976 1062278 1079344 1214032 1382281 1477952 2124556 2158688 2428064 2764562 4249112 4317376 4856128 5529124 8498224 9675967 11058248 16996448 19351934 22116496 31792463 33992896 38703868 44232992 63584926 77407736 88465984 127169852 154815472 222547241 254339704 309630944 445094482 508679408 619261888 890188964 1017358816 1780377928 2034717632 3560755856 7121511712 14243023424